Question: Specify a linear regression model for thehardness data in Table 1.1. Specify the 142matrixXand the 141 vector of responsesy. Determine the 22 matrixX?Xand itsinverse(X?X)?1. Using

Specify a linear regression model for thehardness data in Table 1.1. Specify the 142matrixXand the 141 vector of responsesy. Determine the 22 matrixX?Xand itsinverse(X?X)?1. Using matrix algebra, writedown the expression for the least squaresestimates in??=(X?X)?1X?y.

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